Question

factorise x(2x-y) -y^2​

Answer 1

Answer:

Let f(x)=x

3

−4x

2

+5x−2

Sum of the coefficients =1−4+5−2=0

∴(x−1) is a factor.

Remainder =0

f(x)=x

3

−4x

2

+5x−2

=(x−1)(x

2

−3x+2)

=(x−1)(x−1)(x−2)

=(x−1)

2

(x−2)